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Finding the Third Proportional to 916.31 and 2,006.44

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Solution

The third proportional to 916.31 and 2,006.44 is: 4,393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.31 : 2,006.44 = 2,006.44 : x
  2. Step 2: Convert to fraction form
    916.31/2,006.44 = 2,006.44/x
  3. Step 3: Cross multiply
    916.31x = 2,006.44 × 2,006.44
  4. Step 4: Simplify right side
    916.31x = 4,025,791.44
  5. Step 5: Solve for x
    x = 4,025,791.44/916.31
  6. Step 6: Final answer
    x = 4,393.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.